document.write( "Question 1186084: Problem solving. Solve the word problem below and show your solution.\r
\n" ); document.write( "\n" ); document.write( "A ball is dropped from the top of a building that is 20 meters high. If the ball rebounds to a height that is half tall of its previous height every time it hits the ground. What is the total distance travelled by the ball before coming to rest?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #816954 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "It falls down 20 meters, then up 10 meters.  So its first \"down+up\" is 30 meters.\r\n" );
document.write( "Then it falls down 10 meters then up 5 meters. So its second \"down+up\" is 15\r\n" );
document.write( "meters.  So we have an infinite geometric series with a₁ = first term = 30 and \r\n" );
document.write( "r = common ratio = 1/2.  The formula for the sum of any infinite geometric series\r\n" );
document.write( "is:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substituting:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );